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1001010012012 = 2232277100382071
BaseRepresentation
bin11101001000100001101…
…10001001111101101100
310112200210002221100111100
432210100312021331230
5112400032030341022
62043505130323100
7132214650466323
oct16442066117554
93480702840440
101001010012012
1135658706796a
12142004289490
13735195ccb9a
143664063d0ba
151b08a2741ac
hexe910d89f6c

1001010012012 has 36 divisors (see below), whose sum is σ = 2539465657456. Its totient is φ = 332465415840.

The previous prime is 1001010012001. The next prime is 1001010012031. The reversal of 1001010012012 is 2102100101001.

It is a happy number.

1001010012012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001010011985 and 1001010012003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50181064 + ... + 50201007.

Almost surely, 21001010012012 is an apocalyptic number.

1001010012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001010012012 is an abundant number, since it is smaller than the sum of its proper divisors (1538455645444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001010012012 is a wasteful number, since it uses less digits than its factorization.

1001010012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100382358 (or 100382353 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001010012012 its reverse (2102100101001), we get a palindrome (3103110113013).

The spelling of 1001010012012 in words is "one trillion, one billion, ten million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 277 554 831 1108 1662 2493 3324 4986 9972 100382071 200764142 301146213 401528284 602292426 903438639 1204584852 1806877278 3613754556 27805833667 55611667334 83417501001 111223334668 166835002002 250252503003 333670004004 500505006006 1001010012012